# Mathematically speaking what is a complex relationship definition

### The relationship between variables - Draw the correct conclusions

The relationship between variables determines how the right conclusions are reached. measurements, you can see a shape of a parabola defined by xy= constant. However, in social sciences, things get much more complicated because. What is a Relation? A relation is a relationship between sets of values. In math, the relation is between the x-values and y-values of ordered. In the s and s, the new math movement defined successful These strands are not independent; they represent different aspects of a complex whole. . By exploiting their knowledge of other relationships such as that between the .. can be given regular opportunities to talk about the concepts and procedures .

### Social Research Methods - Knowledge Base - Types of Relationships

Other continental philosophers suggest that concepts such as life, nature, and sex are ambiguous. Corey Anton has argued that we cannot be certain what is separate from or unified with something else: Following Ernest Becker, he argues that the desire to 'authoritatively disambiguate' the world and existence has led to numerous ideologies and historical events such as genocide.

On this basis, he argues that ethics must focus on 'dialectically integrating opposites' and balancing tension, rather than seeking a priori validation or certainty. Like the existentialists and phenomenologists, he sees the ambiguity of life as the basis of creativity.

In literature and rhetoric, ambiguity can be a useful tool. Groucho Marx's classic joke depends on a grammatical ambiguity for its humor, for example: How he got in my pajamas, I'll never know".

Songs and poetry often rely on ambiguous words for artistic effect, as in the song title "Don't It Make My Brown Eyes Blue" where "blue" can refer to the color, or to sadness. In the narrative, ambiguity can be introduced in several ways: Scott Fitzgerald uses the latter type of ambiguity with notable effect in his novel The Great Gatsby. Christianity and Judaism employ the concept of paradox synonymously with 'ambiguity'.

Many Christians and Jews endorse Rudolf Otto's description of the sacred as 'mysterium tremendum et fascinans', the awe-inspiring mystery which fascinates humans.

Chesterton regularly employed paradox to tease out the meanings in common concepts which he found ambiguous or to reveal meaning often overlooked or forgotten in common phrases. The title of one of his most famous books, Orthodoxy, itself employing such a paradox.

Metonymy involves the use of the name of a subcomponent part as an abbreviation, or jargon, for the name of the whole object for example "wheels" to refer to a car, or "flowers" to refer to beautiful offspring, an entire plant, or a collection of blooming plants. In modern vocabulary, critical semiotics,[9] metonymy encompasses any potentially ambiguous word substitution that is based on contextual contiguity located close togetheror a function or process that an object performs, such as "sweet ride" to refer to a nice car.

Metonym miscommunication is considered a primary mechanism of linguistic humor. Music[ edit ] In musicpieces or sections which confound expectations and may be or are interpreted simultaneously in different ways are ambiguous, such as some polytonalitypolymeterother ambiguous meters or rhythmsand ambiguous phrasingor Steinp.

The music of Africa is often purposely ambiguous. To quote Sir Donald Francis Toveyp. Please help improve this section by adding citations to reliable sources.

## Types of Relationships

Unsourced material may be challenged and removed. September The Necker cubean ambiguous image In visual art, certain images are visually ambiguous, such as the Necker cubewhich can be interpreted in two ways. Perceptions of such objects remain stable for a time, then may flip, a phenomenon called multistable perception. The opposite of such ambiguous images are impossible objects.

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Pictures or photographs may also be ambiguous at the semantic level: This section does not cite any sources. September Learn how and when to remove this template message Some languages have been created with the intention of avoiding ambiguity, especially lexical ambiguity. Lojban and Loglan are two related languages which have been created for this, focusing chiefly on syntactic ambiguity as well. The languages can be both spoken and written.

### Ambiguity - Wikipedia

Walras used this statement to move toward a proof of existence of solutions to general equilibrium but it is commonly used today to illustrate market clearing in money markets at the undergraduate level. Walras abstracted the marketplace as an auction of goods where the auctioneer would call out prices and market participants would wait until they could each satisfy their personal reservation prices for the quantity desired remembering here that this is an auction on all goods, so everyone has a reservation price for their desired basket of goods.

The market would "clear" at that price—no surplus or shortage would exist. While the process appears dynamic, Walras only presented a static model, as no transactions would occur until all markets were in equilibrium.

In practice very few markets operate in this manner. Referred to as the "core" of the economy in modern parlance, there are infinitely many solutions along the curve for economies with two participants [32] Given two individuals, the set of solutions where the both individuals can maximize utility is described by the contract curve on what is now known as an Edgeworth Box.

Technically, the construction of the two-person solution to Edgeworth's problem was not developed graphically until by Arthur Lyon Bowley. While at the helm of The Economic Journalhe published several articles criticizing the mathematical rigor of rival researchers, including Edwin Robert Anderson Seligmana noted skeptic of mathematical economics. Edgeworth noticed that a monopoly producing a good that had jointness of supply but not jointness of demand such as first class and economy on an airplane, if the plane flies, both sets of seats fly with it might actually lower the price seen by the consumer for one of the two commodities if a tax were applied.

## How Machines Make Predictions: Finding Correlations in Complex Data

Common sense and more traditional, numerical analysis seemed to indicate that this was preposterous. Seligman insisted that the results Edgeworth achieved were a quirk of his mathematical formulation. He suggested that the assumption of a continuous demand function and an infinitesimal change in the tax resulted in the paradoxical predictions. One method for doing this is to use the Bonferroni correction.

Given an unseen set of data, it is possible to start mining for significant relationships between the variables. Look at the graphs below. The reason why is because the variables in these graphs have a non-linear relationship.

Yet the relationship between these variables is still clearly non-random, and that makes them potentially useful predictors of each other. How can machines identify this? Luckily, there are different correlation measures available to us. Instead of assessing how two variables tend to co-vary in their distance from their respective means, distance correlation assesses how they tend to co-vary in terms of their distances from all other points.